Question

why does it appear the maximum and minimum are solved the exact same way? whats the difference?

Answer 1

(0) fra.y= -cn-a) ² - cy-b) ² y = kx grx,y) = kny 4x261) 4x = -26*-a) fan = -2 ax y een ty : -304.6) Tag = -2 fuy trydy) as solved in the given Problem critical points are +kb, yek (+kb) b * y ? TEK we need to calculate d for maxima furining deo saddle Points daten) (fr) - they kay = -2, key = o. ker = -2, do fax o Mining a> . also fonso Marina o d = (-2)(-2) d-4 so, fonco Hence it's a point of Maxima

co fex, y) = (x )" + (9-18 4- 2n gin, y) = 2nry - 2 (x- ) fy - rly - Yo) fax 2 fy - 2 , kay = 0 we have critical points as solved in the given Problem = (xo + 2%) 4 = 2 (Not 24.) al= (frr) (Iyy) - da (2 7 (2) - (0)2 aso, texto Hence its a point of mining They did not caculate "d" and that's why it is looking confusing. al gives the detail about critical Pointe wheather, the point is of danima, minima or saddle Point.
check the sign of "d" for each critical point

It gives the details about critical point , it is maxima / minima or saddle point